GCD of 464, 260, 660, 714 Calculator

Given Input numbers are 464, 260, 660, 714

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Greatest Common Divisior

We found the divisors of 464, 260, 660, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 260, 660, 714 is 2.

Therefore, GCD of numbers 464, 260, 660, 714 is 2

Given Input Data is 464, 260, 660, 714

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 714 is 2 x 3 x 7 x 17

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(464, 260) = 30160

GCD(464, 260) = ( 464 x 260 ) / 30160

GCD(464, 260) = 120640 / 30160

GCD(464, 260) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 660

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 660) = 660

GCD(4, 660) = ( 4 x 660 ) / 660

GCD(4, 660) = 2640 / 660

GCD(4, 660) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 714

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 714) = 1428

GCD(4, 714) = ( 4 x 714 ) / 1428

GCD(4, 714) = 2856 / 1428

GCD(4, 714) = 2

GCD of 464, 260, 660, 714 is 2

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1. What is the GCD of 464, 260, 660, 714?

GCD of 464, 260, 660, 714 is 2

2. Where do I get the detailed procedure to find GCD of 464, 260, 660, 714?

You can find a detailed procedure to find GCD of 464, 260, 660, 714 on our page.

3. How to find GCD of 464, 260, 660, 714 on a calculator?

You can find the GCD of 464, 260, 660, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.